Current & Voltage Relationships
- Resistance is defined as the opposition to current:
- Resistance occurs because the free electrons flowing in the circuit (current) collide with the metal ions in the wire which slows them down or resists their flow
- The higher the resistance of a circuit, the lower the current
- This means that good conductors have a low resistance and insulators have a high resistance
- The symbol for resistance is R
- It is measured in ohms (Ω)
- Ω is the Greek capital letter ‘Omega’
- The resistance of a circuit can be increased by adding resistors (or variable resistors) to it
- Every electrical component has a resistance, even wires
- In exam questions, the resistance of the wires and batteries are assumed to be negligible
Diagram Showing How Resistance Affects Current
When a circuit has a high resistance, a lower current will flow, and vice versa
- Current, , voltage,V, and resistance, R, all affect one another
- Changing any one of these in a circuit, changes all of them
- Current is directly proportional to voltage, and inversely proportional to resistance
- If voltage doubles, current will double
- If resistance doubles, current will halve
- These relationships are described using the following equation
- Where:
- = current measured in amps (A)
- V = voltage measured in volts (V)
- R = resistance measured in ohms (Ω)
- This equation is sometimes called the resistance equation or Ohm's law
- Students taking the Higher Tier exam paper will need to be able to rearrange this equation
- The equation triangle can help with rearranging the equation if you need support
Equation Triangle for Current, Voltage and Resistance
Cover up the variable you need to calculate, and the triangle shows you how the equation is arranged
- To use an equation triangle:
- Cover the variable to need to calculate
- The remaining variables are positioned correctly for that equation
- Multiplication across the base of the triangle
- Division of the top of the triangle by the bottom
- For example:
- To calculate voltage,
- To calculate resistance,
Examiner Tip
For students taking the Foundation Tier exam paper, the equations will be given to you in the exam in the form that you will need to use them.
Worked example
Calculate the current through a resistor of resistance 10 Ω if there is a voltage of 3 V across it.
Answer:
Step 1: List the known quantities
-
- Resistance, R = 10 Ω
- Voltage, V = 3 V
Step 2: Write the equation relating resistance, potential difference and current
Step 3: Substitute in the values